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Finding the Third Proportional to 49,210.50 and 76,344

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Solution

The third proportional to 49,210.50 and 76,344 is: 118,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,210.50 : 76,344 = 76,344 : x
  2. Step 2: Convert to fraction form
    49,210.50/76,344 = 76,344/x
  3. Step 3: Cross multiply
    49,210.50x = 76,344 × 76,344
  4. Step 4: Simplify right side
    49,210.50x = 5,828,406,336
  5. Step 5: Solve for x
    x = 5,828,406,336/49,210.50
  6. Step 6: Final answer
    x = 118,438.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.